The solution of x in the given expression is 4. However, if it is
, it is 6.
The solution to the given algebra expression involving surds can be seen in the steps below.
Given that:
Remove the square roots, we have:
12x - 32 = 4x² - 48x + 144
Solving the quadratic equation at the RHS and equating it to LHS, we have:
x = 11, x = 4
Verifying the solutions by replacing the value of x with the given equation:
- x = 11 False
- x = 4 True
Therefore, we can conclude that the value of x = 4
NOTE:
Given that:
Square both sides
3x - 7 = x +5
Solve for x
3x - x = 5 + 7
2x = 12
x = 6
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